5y(2y-5)-5y=5(y-5)-9

Solution for 5y(2y-5)-5y=5(y-5)-9 equation:

Simplifying
5y(2y + -5) + -5y = 5(y + -5) + -9

Reorder the terms:
5y(-5 + 2y) + -5y = 5(y + -5) + -9
(-5 * 5y + 2y * 5y) + -5y = 5(y + -5) + -9
(-25y + 10y2) + -5y = 5(y + -5) + -9

Reorder the terms:
-25y + -5y + 10y2 = 5(y + -5) + -9

Combine like terms: -25y + -5y = -30y
-30y + 10y2 = 5(y + -5) + -9

Reorder the terms:
-30y + 10y2 = 5(-5 + y) + -9
-30y + 10y2 = (-5 * 5 + y * 5) + -9
-30y + 10y2 = (-25 + 5y) + -9

Reorder the terms:
-30y + 10y2 = -25 + -9 + 5y

Combine like terms: -25 + -9 = -34
-30y + 10y2 = -34 + 5y

Solving
-30y + 10y2 = -34 + 5y

Solving for variable 'y'.

Reorder the terms:
34 + -30y + -5y + 10y2 = -34 + 5y + 34 + -5y

Combine like terms: -30y + -5y = -35y
34 + -35y + 10y2 = -34 + 5y + 34 + -5y

Reorder the terms:
34 + -35y + 10y2 = -34 + 34 + 5y + -5y

Combine like terms: -34 + 34 = 0
34 + -35y + 10y2 = 0 + 5y + -5y
34 + -35y + 10y2 = 5y + -5y

Combine like terms: 5y + -5y = 0
34 + -35y + 10y2 = 0

Begin completing the square.  Divide all terms by
10 the coefficient of the squared term: 

Divide each side by '10'.
3.4 + -3.5y + y2 = 0.0

Move the constant term to the right:

Add '-3.4' to each side of the equation.
3.4 + -3.5y + -3.4 + y2 = 0.0 + -3.4

Reorder the terms:
3.4 + -3.4 + -3.5y + y2 = 0.0 + -3.4

Combine like terms: 3.4 + -3.4 = 0.0
0.0 + -3.5y + y2 = 0.0 + -3.4
-3.5y + y2 = 0.0 + -3.4

Combine like terms: 0.0 + -3.4 = -3.4
-3.5y + y2 = -3.4

The y term is -3.5y.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5y + 3.0625 + y2 = -3.4 + 3.0625

Reorder the terms:
3.0625 + -3.5y + y2 = -3.4 + 3.0625

Combine like terms: -3.4 + 3.0625 = -0.3375
3.0625 + -3.5y + y2 = -0.3375

Factor a perfect square on the left side:
(y + -1.75)(y + -1.75) = -0.3375

Can't calculate square root of the right side.

The solution to this equation could not be determined.